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舰船辐射噪声贝叶斯方法反演浅海底层结构及地声参数

Inversion of shallow seabed structure and geoacoustic parameters with ship radiated noise Bayesian method

  • 摘要: 针对以舰船辐射噪声为参考声源的浅海海底分层结构及地声参数反演问题, 研究了一种基于贝叶斯理论的浅海多层海底地声参数反演方法。反演中以舰船辐射噪声的线谱成分为研究对象, 进而采用非线性贝叶斯反演方法反演浅海底层结构、层中声速、声速衰减和密度, 并对反演结果的不确定性进行分析。反演结果的最大后验概率估计值和边缘概率分布分别通过拨正模拟退火算法和Metropolis-Hastings采样法在各参数先验区间内计算获得, 并根据贝叶斯信息准则确定最佳海底分层结构。海上实验表明:根据该方法反演获得海底分层结构及地声参数, 计算得到的声压场与实测舰船辐射噪声传播损失误差不超过10%, 反演结果能够准确表征实验海区海底特征。反演结果不确定性分析表明:海底纵波声速、横波声速以及密度的不确定性更小, 对声压场变化更加敏感, 反演结果更有效、准确。

     

    Abstract: Aiming at the problem of shallow seabed layered structure and geoacoustic parameter inversion with ship radiated noise as the reference sound source, a shallow multi-layered seabed geoacoustic parameter inversion method based on Bayesian theory is studied. In the inversion, the line spectrum component of the ship radiated noise is the research object, and then the nonlinear Bayesian inversion method is used to invert the parameters of the seabed structure, the wave speed and density in the layer, and the uncertainty of the inversion result is analyed. The Maximum A Posterior (MAP) estimate and the marginal probability distribution of the inversion result are calculated by the Optimization Simulated Annealing (OSA) and Metropolis-Hastings Sample (MHS) method in the prior interval of each parameter, and the best seabed layering is determined according to the Bayesian Information Criterion (BIC). The sea experiments show that the seabed layered structure and geoacoustic parameters are obtained by inversion according to this method, and the error between the calculated sound pressure field and the measured ship radiated noise transmission loss not exceed 10%, and the inversion result can accurately represent the seabed characteristics of the experimental sea area. The uncertainty of the inversion result shows that the uncertainty of the compression wave speed, shear wave speed and density is smaller, and it is more sensitive to changes in the sound pressure field, and the inversion result is more effective and accurate.

     

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